2153760090 has 64 divisors (see below), whose sum is σ = 5480141184. Its totient is φ = 539854848.

The previous prime is 2153760083. The next prime is 2153760097. The reversal of 2153760090 is 900673512.

It is an interprime number because it is at equal distance from previous prime (2153760083) and next prime (2153760097).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2153760097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 475617 + ... + 480123.

It is an arithmetic number, because the mean of its divisors is an integer number (85627206).

Almost surely, 2^2153760090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2153760090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740070592).

2153760090 is an abundant number, since it is smaller than the sum of its proper divisors (3326381094).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2153760090 is a wasteful number, since it uses less digits than its factorization.

2153760090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5471.

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 2153760090 is about 46408.6208586293. The cubic root of 2153760090 is about 1291.4148469110.

The spelling of 2153760090 in words is "two billion, one hundred fifty-three million, seven hundred sixty thousand, ninety".